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Finding the Fourth Proportional to 11,940, 16,481.03 and 7,225.80

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Solution

The fourth proportional to 11,940, 16,481.03 and 7,225.80 is: 9,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940 : 16,481.03 = 7,225.80 : x
  2. Step 2: Convert to fraction form
    11,940/16,481.03 = 7,225.80/x
  3. Step 3: Cross multiply
    11,940x = 16,481.03 × 7,225.80
  4. Step 4: Simplify right side
    11,940x = 119,088,626.57
  5. Step 5: Solve for x
    x = 119,088,626.57/11,940
  6. Step 6: Final answer
    x = 9,973.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.